Solveeit Logo

Question

Question: The temperature, pressure and volume of two gases X and Y are T, P and V respectively. When the gase...

The temperature, pressure and volume of two gases X and Y are T, P and V respectively. When the gases are mixed then the volume and temperature of mixture become V and T respectively. The pressure and mass of the mixture will be

A

(a) 2P and 2M

B

P and M

C

P and 2M

D

2P and M

Answer

P and M

Explanation

Solution

As the quantity of gas remains constant μA+μB=μ\mu_{A} + \mu_{B} = \mu

PAVART+PBVBRT=P(VA+VB)RT\frac{P_{A}V_{A}}{RT} + \frac{P_{B}V_{B}}{RT} = \frac{P(V_{A} + V_{B})}{RT}

P=PAVA+PBVBVA+VB=1.4×0.1+0.7×0.150.1+0.15P = \frac{P_{A}V_{A} + P_{B}V_{B}}{V_{A} + V_{B}} = \frac{1.4 \times 0.1 + 0.7 \times 0.15}{0.1 + 0.15}

P=0.98MPaP = 0.98MPa.