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Question Number 22279    Answers: 0   Comments: 0

Question Number 22299    Answers: 0   Comments: 0

If a certain mass of gas is made to undergo separately adiabatic and isothermal expansions to the same pressure, starting from the same initial conditions of temperature and pressure, then as compared to that of isothermal expansion, in the case of adiabatic expansion, the final (1) Volume and temperature will be higher (2) Volume and temperature will be lower (3) Temperature will be lower but the final volume will be higher (4) Volume will be lower but the final temperature will be higher

$$\mathrm{If}\:\mathrm{a}\:\mathrm{certain}\:\mathrm{mass}\:\mathrm{of}\:\mathrm{gas}\:\mathrm{is}\:\mathrm{made}\:\mathrm{to} \\ $$$$\mathrm{undergo}\:\mathrm{separately}\:\mathrm{adiabatic}\:\mathrm{and} \\ $$$$\mathrm{isothermal}\:\mathrm{expansions}\:\mathrm{to}\:\mathrm{the}\:\mathrm{same} \\ $$$$\mathrm{pressure},\:\mathrm{starting}\:\mathrm{from}\:\mathrm{the}\:\mathrm{same}\:\mathrm{initial} \\ $$$$\mathrm{conditions}\:\mathrm{of}\:\mathrm{temperature}\:\mathrm{and}\:\mathrm{pressure}, \\ $$$$\mathrm{then}\:\mathrm{as}\:\mathrm{compared}\:\mathrm{to}\:\mathrm{that}\:\mathrm{of}\:\mathrm{isothermal} \\ $$$$\mathrm{expansion},\:\mathrm{in}\:\mathrm{the}\:\mathrm{case}\:\mathrm{of}\:\mathrm{adiabatic} \\ $$$$\mathrm{expansion},\:\mathrm{the}\:\mathrm{final} \\ $$$$\left(\mathrm{1}\right)\:\mathrm{Volume}\:\mathrm{and}\:\mathrm{temperature}\:\mathrm{will}\:\mathrm{be} \\ $$$$\mathrm{higher} \\ $$$$\left(\mathrm{2}\right)\:\mathrm{Volume}\:\mathrm{and}\:\mathrm{temperature}\:\mathrm{will}\:\mathrm{be} \\ $$$$\mathrm{lower} \\ $$$$\left(\mathrm{3}\right)\:\mathrm{Temperature}\:\mathrm{will}\:\mathrm{be}\:\mathrm{lower}\:\mathrm{but}\:\mathrm{the} \\ $$$$\mathrm{final}\:\mathrm{volume}\:\mathrm{will}\:\mathrm{be}\:\mathrm{higher} \\ $$$$\left(\mathrm{4}\right)\:\mathrm{Volume}\:\mathrm{will}\:\mathrm{be}\:\mathrm{lower}\:\mathrm{but}\:\mathrm{the}\:\mathrm{final} \\ $$$$\mathrm{temperature}\:\mathrm{will}\:\mathrm{be}\:\mathrm{higher} \\ $$

Question Number 22273    Answers: 0   Comments: 1

Ant rided 30 meters in 12 seconds. How fast are rided ant?

$${Ant}\:{rided}\:\mathrm{30}\:{meters}\:{in}\:\mathrm{12}\:{seconds}.\:{How}\:{fast}\:{are}\:{rided}\:{ant}? \\ $$

Question Number 23106    Answers: 0   Comments: 0

Is 2(x+1) had a x=3

$${Is}\:\mathrm{2}\left({x}+\mathrm{1}\right)\:{had}\:{a}\:{x}=\mathrm{3} \\ $$

Question Number 22269    Answers: 1   Comments: 0

Product costs 599.99 zloty. Person have 433.94 zloty. How muh zloty is a rest or missing?

$${Product}\:{costs}\:\mathrm{599}.\mathrm{99}\:{zloty}.\:{Person}\:{have}\:\mathrm{433}.\mathrm{94}\:{zloty}. \\ $$$${How}\:{muh}\:{zloty}\:{is}\:{a}\:{rest}\:{or}\:{missing}? \\ $$

Question Number 22268    Answers: 1   Comments: 2

if tanx = (1/3) or other (except standard values) how to find x

$$\mathrm{if}\:\mathrm{tanx}\:=\:\frac{\mathrm{1}}{\mathrm{3}}\:\mathrm{or}\:\mathrm{other}\:\left(\mathrm{except}\:\mathrm{standard}\:\right. \\ $$$$\left.\mathrm{values}\right)\:\mathrm{how}\:\mathrm{to}\:\mathrm{find}\:\mathrm{x} \\ $$

Question Number 22264    Answers: 1   Comments: 0

What is 1+5(2/3)

$${What}\:{is}\:\mathrm{1}+\mathrm{5}\frac{\mathrm{2}}{\mathrm{3}} \\ $$

Question Number 22263    Answers: 2   Comments: 0

Question Number 22261    Answers: 1   Comments: 0

Slove ∫xtanx dx

$$\mathrm{Slove} \\ $$$$\int\mathrm{xtanx}\:\mathrm{dx} \\ $$

Question Number 22260    Answers: 2   Comments: 0

8^(x−1) +(3/4)x=1 solve for x Any idea?

$$\mathrm{8}^{\boldsymbol{{x}}−\mathrm{1}} +\frac{\mathrm{3}}{\mathrm{4}}\boldsymbol{{x}}=\mathrm{1}\:\:\:\:\:\:\boldsymbol{{solve}}\:\boldsymbol{{for}}\:\boldsymbol{{x}} \\ $$$$\boldsymbol{{Any}}\:\boldsymbol{{idea}}? \\ $$

Question Number 22726    Answers: 1   Comments: 2

Question Number 22728    Answers: 0   Comments: 0

Question Number 22730    Answers: 1   Comments: 2

Question Number 22729    Answers: 2   Comments: 5

Question Number 22244    Answers: 1   Comments: 0

Solve the inequality : −9((x)^(1/4) )+(√x)+18 ≥ 0 .

$${Solve}\:{the}\:{inequality}\:: \\ $$$$\:−\mathrm{9}\left(\sqrt[{\mathrm{4}}]{{x}}\right)+\sqrt{{x}}+\mathrm{18}\:\geqslant\:\mathrm{0}\:. \\ $$

Question Number 22232    Answers: 1   Comments: 0

find (dy/dx) where sin^(−1) ((x/y))=x+y

$$\mathrm{find}\:\frac{\mathrm{dy}}{\mathrm{dx}}\:\mathrm{where}\:\mathrm{sin}^{−\mathrm{1}} \left(\frac{\mathrm{x}}{\mathrm{y}}\right)=\mathrm{x}+\mathrm{y} \\ $$

Question Number 22731    Answers: 0   Comments: 0

Question Number 22247    Answers: 1   Comments: 0

I=∫(√)x^2 +a^2 dx

$$\mathrm{I}=\int\sqrt{}\mathrm{x}^{\mathrm{2}} +\mathrm{a}^{\mathrm{2}} \:\mathrm{dx} \\ $$

Question Number 22220    Answers: 1   Comments: 0

The number of integral solutions of the equation 4log_(x/2) ((√x))+2log_(4x) (x^2 )= 3log_(2x) (x^3 ) is

$$\mathrm{The}\:\mathrm{number}\:\mathrm{of}\:\mathrm{integral}\:\mathrm{solutions}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{equation}\:\mathrm{4log}_{{x}/\mathrm{2}} \left(\sqrt{{x}}\right)+\mathrm{2log}_{\mathrm{4}{x}} \left({x}^{\mathrm{2}} \right)= \\ $$$$\mathrm{3log}_{\mathrm{2}{x}} \left({x}^{\mathrm{3}} \right)\:\mathrm{is} \\ $$

Question Number 22215    Answers: 3   Comments: 0

solve the inequation −x^2 +3x−2>0

$${solve}\:{the}\:{inequation}\:−{x}^{\mathrm{2}} +\mathrm{3}{x}−\mathrm{2}>\mathrm{0} \\ $$

Question Number 22210    Answers: 1   Comments: 0

∫((4x)/e^(3x) )dx

$$\int\frac{\mathrm{4}{x}}{{e}^{\mathrm{3}{x}} }{dx} \\ $$

Question Number 22203    Answers: 1   Comments: 1

lim_(x→∞) e^x cos x

$$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:{e}^{{x}} \:\mathrm{cos}\:{x} \\ $$

Question Number 22221    Answers: 1   Comments: 1

∫ ((a_0 +b_0 x^2 )/((a+x)^2 ))dx

$$\int\:\:\frac{{a}_{\mathrm{0}} +{b}_{\mathrm{0}} {x}^{\mathrm{2}} }{\left({a}+{x}\right)^{\mathrm{2}} }{dx} \\ $$

Question Number 22199    Answers: 2   Comments: 3

Question Number 22193    Answers: 1   Comments: 1

A body of mass 0.1kg dropped from a height of 8m onto a hard floor and bounces back to a height of 2m. Calculate the chaange in momentum.If the body is in contact with the floor for 0.1s, what is the force exerted on the body?(g=10m/s^2 )

$$\mathrm{A}\:\mathrm{body}\:\mathrm{of}\:\mathrm{mass}\:\mathrm{0}.\mathrm{1kg}\:\mathrm{dropped}\: \\ $$$$\mathrm{from}\:\mathrm{a}\:\mathrm{height}\:\mathrm{of}\:\mathrm{8m}\:\mathrm{onto}\:\mathrm{a}\:\mathrm{hard} \\ $$$$\mathrm{floor}\:\mathrm{and}\:\mathrm{bounces}\:\mathrm{back}\:\mathrm{to}\:\mathrm{a}\:\mathrm{height} \\ $$$$\mathrm{of}\:\mathrm{2m}.\:\mathrm{Calculate}\:\mathrm{the}\:\mathrm{chaange}\:\mathrm{in} \\ $$$$\mathrm{momentum}.\mathrm{If}\:\mathrm{the}\:\mathrm{body}\:\mathrm{is}\:\mathrm{in} \\ $$$$\mathrm{contact}\:\mathrm{with}\:\mathrm{the}\:\mathrm{floor}\:\mathrm{for}\:\mathrm{0}.\mathrm{1s}, \\ $$$$\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{force}\:\mathrm{exerted}\:\mathrm{on}\:\mathrm{the} \\ $$$$\mathrm{body}?\left(\mathrm{g}=\mathrm{10m}/\mathrm{s}^{\mathrm{2}} \right) \\ $$$$ \\ $$$$ \\ $$$$ \\ $$

Question Number 22177    Answers: 1   Comments: 0

(C_0 /2) − (C_1 /3) + (C_2 /4) − (C_3 /5) + ..........

$$\frac{{C}_{\mathrm{0}} }{\mathrm{2}}\:−\:\frac{{C}_{\mathrm{1}} }{\mathrm{3}}\:+\:\frac{{C}_{\mathrm{2}} }{\mathrm{4}}\:−\:\frac{{C}_{\mathrm{3}} }{\mathrm{5}}\:+\:.......... \\ $$

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