Question

A rigid tank contains 35 kg of nitrogen at 6 atm. sufficient quantity of oxygen is supplied to increase the pressure to 9 atm, while the temperature remains constant. amount of oxygen supplied to the tank is :

• A. 5 kg
• B. 10 kg
• C. 20 kg
• D. 40 kg

Answer 1

Answer: (D)

40 kg

$\text{Given:-}$Weight of nitrogen $=35kg$

Pressure, $P_1=6atm$

Pressure, $P_1=9atm$

$\text{Solution:-}$

As per ideal gas equation

$PV=nRT$

$PV=\frac{w}{M}RT$

For the initial condition be force adding oxygen

$6\times V=\frac{35\times 1000}{25}RT.........\left(1\right)$

For the final condition after adding oxygen

$9\times V=(\frac{35}{28}+\frac{x}{32})\times 1000\times RT.............\left(2\right)$

Equating both the equation we get,

$\frac{2}{3}=\frac{\frac{35\times 1000}{28}}{\left(\frac{280+7x}{224}\right)\times 1000}$

$x=\frac{280}{7}=40kg$

$\text{Hence the correct option is D}$