At constant temperature, if pressure of one mole of an ideal gas to increased by 25 % , the volume of the gas.

Question

At constant temperature, if pressure of one mole of an ideal gas to increased by 25 % , the volume of the gas. (A) Increases by 25 % (B) decreases by 20 % (C) decreases by 25 % (D) Increases by 20 %

Tardigrade Admin · Accepted Answer

Let P1=100atm and V=100L If 25 % increase then P2=125atm at constant temperature, P1V1=P2V2 100× 100=125× V2 V2=80L ⇒ decreases by 20 %

Q. At constant temperature, if pressure of one mole of an ideal gas to increased by $25%$ , the volume of the gas.

Increases by $25%$

decreases by $20%$

decreases by $25%$

Increases by $20%$

Let $P_{1} = 100 a t m$ and $V = 100 L$
If $25%$ increase then $P_{2} = 125 a t m$
at constant temperature, $P_{1} V_{1} = P_{2} V_{2}$
$100 \times 100 = 125 \times V_{2}$
$V_{2} = 80 L$
$\Rightarrow$ decreases by $20%$

Q. At constant temperature, if pressure of one mole of an ideal gas to increased by 25% , the volume of the gas.

Increases by 25%

decreases by 20%

decreases by 25%

Increases by 20%