1. Tardigrade
  2. Question
  3. Chemistry
  4. At a pressure of P atm and temperature of T K. 3.6 g of an ideal gas was injected into a bulb of internal volume 8 L. The bulb was then placed in a thermostat maintained at (T + 15) K and 0.6 g of the gas was let off to maintain the original pressure. What is correct value of T and P if molar mass of gas is 44 g/mol.

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Q. At a pressure of P atm and temperature of T K. 3.6 g of an ideal gas was injected into a bulb of internal volume 8 L. The bulb was then placed in a thermostat maintained at (T + 15) K and 0.6 g of the gas was let off to maintain the original pressure. What is correct value of T and P if molar mass of gas is 44 g/mol.

NTA AbhyasNTA Abhyas 2020

Solution:

$P\times V=\frac{3 .6}{44}\times R\times T$ ...(i)
$P\times V=\frac{3}{44} \, R \, \left(T + 15\right)$ ...(ii)
Equation (i) = (ii)
$3.6 \, T=3 \, T+45$
$0.6T=45$
$T=\frac{45}{0.6}\times \frac{450}{6}=75$
$ \rightarrow $ From $PV=nRT\Rightarrow $
$P\times 8=\frac{3.6}{44}\times 0.0821\times 75$
$P=0.062$