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A given mass of gas has a pressure of 80 Nm2 at a...

A given mass of gas has a pressure of 80 Nm2 at a temperature of 47 C. If the temperature is reduced to 27 C with volume remaining constant, the new pressure is?

A.

46.0 Nm2

B.

75.0 Nm2

C.

80.0 Nm2

D.

85.3 Nm2

Correct answer is B

Using P1T1=P2T2

P1 = 80Nm2
T1 = 47 + 273 = 320k
T2 = 27 + 273 = 300k
P2?

= P_{2} = \frac{P_{1}T_{2}}{T_{1}}

= \frac{80 \times 300}{320} = 75.Nm^{2}