1. Tardigrade
  2. Question
  3. Chemistry
  4. If pressure increases by 1 % then percentage decrease of volume of an ideal gas at constant temperature is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. If pressure increases by $1\%$ then percentage decrease of volume of an ideal gas at constant temperature is

NTA AbhyasNTA Abhyas 2020

Solution:

$P_{1}V_{1}=P_{2}V_{2}$
$100\times V_{1}=101\times V_{2}\Rightarrow V_{2}=\frac{100}{101}V_{1}$
$\%$ decrease in volume $=\frac{V_{1} - V_{2}}{V_{1}}\times 100$
$=\left(1 - \frac{100}{101}\right)\times 100$
$=\frac{100}{101}\%$