A quantity of sungas at -133 occupies 1/3m³ under pressure 1.4 x 10^5 Nm^-2. if the gas occupies 31 m³ at 37°C, its pressure will be

JAMB 1980

A quantity of sungas at -133 occupies 1/3m³ under pressure 1.4 x 10^5 Nm^-2. if the gas occupies 31 m³ at 37°C, its pressure will be

A. 1.26 x 10³Nm^-2

B. 3.3 x10³Nm^-2

C. 1.35 x 10³Nm^-2

D. 2.2 x 10³Nm^-2

E. 10^5Nm^-2

Correct Answer: Option B

Explanation

P1V1/T1 = P2V2/T2

Since the temperature has to be in Kelvin,

T1 = -133 + 273 = 140K

T2 = 37 + 273 = 310K

= (1/3×1.4×10^5)/140 = (P2×31)/310

P2 = 3.3 x 10³Nm^-2

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