At 35°C and 5 atmospheres pressure the density of a gas is 0. 600g per liter. What is the density at 7 atmospheric pressure and 350°C.

A. 0.27g / liters
B. 0.25g / liters
C. 1.7g / liters
D. 0.15g / liters

Correct Answer:

Option C – 1.7g / liters

Explanation

θ1=35°CT1=273+θ=73+35=308kP1=5atm

d1 = 0.600g/ litre

θ2 = 350°C, T2 = 2 + 3 + θ

= 273 + 350 = 623k, d2 = ?

P2 = 7atm

T a P a 1/d = TPK/d (where k is a constant)

Tp1 ÷ d1 = T1P2 ÷ d2, [(308 × 5) ÷ 0.600]

= (623 × 7) ÷ d2

d2 = (623 × 7 ×0.600) ÷ (308 × 5)

= 2616.6 ÷ 1540

= 1.69g / litresd2 = 1.69g / litres

∴ d2 = 1.70g / litres (Approx.)