If the pressure of an ideal gas decreases by 10% isothermally, then its volume will ___. (a) decrease by 9% (b

Question 67 of 90

Q. If the pressure of an ideal gas decreases by 10% isothermally, then its volume will ______.

(a) decrease by 9%

(b) increase by 7%

(d) increase by 11.4%

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For an isothermal process on a fixed mass of ideal gas, Boyle's law $PV = \text{constant}$ applies.

By Boyle's law, at constant temperature, $P_1V_1 = P_2V_2$ .

Here the pressure decreases by 10%, so $P_2 = 0.9\,P_1$ .

$V_2 = \dfrac{P_1V_1}{P_2} = \dfrac{P_1V_1}{0.9P_1} = \dfrac{V_1}{0.9} = 1.1111\,V_1$

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Q.If the pressure of an ideal gas decreases by 10% isothermally, then its volume will ______.