**A gas at pressure PN-m**^{-2} and temperature 27°C is heated to 77°C at constant vo...

^{-2}and temperature 27°C is heated to 77°C at constant vo...

### Question

A gas at pressure PN-m^{-2} and temperature 27°C is heated to 77°C at constant volume. The new pressure is

### Options

A) 0.85 PN-m^{-2}

B) 0.86 PN-m^{-2}

C) 1.16 PN-m^{-2}

D) 1.18 PN-m^{-2}

E) 2.85 PN-m^{-2}

Related Lesson: Summarizing Gauge Pressure and Absolute Pressure | Fluid Statics

The correct answer is C.

### Explanation:

At constant volume,

\(\frac{P_1}{T_1}\) = \(\frac{P_2}{T_2}\)

\(\frac{P_1}{27 +273}\) = \(\frac{27}{27 + 273}\)

P_{2} = 1.16 PN-m^{-2}

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The solution is authomagically wrong

The question is from charle's laws

At constants volume.P1/T1=P2/T2

P1/27+273=P2/77+273

P1/300=P2/350

Cross multiply

300P2=350p

Divide both side by coefficient P2

350p/300p2

P2=1.16PN-m²

At constant volume,

\(\frac{P_1}{T_1}\) = \(\frac{P_2}{T_2}\)

\(\frac{P_1}{27 +273}\) = \(\frac{27}{27 + 273}\)

P

_{2}= 1.16 PN-m^{-2}