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.

Assessment: JAMB UTME - Physics - 2015 Subject: Physics

Question 1 Report

0.27g / liters

0.25g / liters

17g / liters

0.15g / liters

Answer Details

θ 1 = 35 ° C T 1 = 273 + θ = 73 + 35 = 308 k P 1 = 5

atm

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.)

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