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By what amount must the temperature of 200cm3 of Nitrog...

By what amount must the temperature of 200cm3 of Nitrogen at 27°C be increased to double the pressure if the final volume is 150cm3 (Assume ideality)

A.

150°C

B.

177°C

C.

75°C

D.

120°C

Correct answer is A

Parameters given:

V1 = 200 cm3; T1 = 27 + 273 = 300K.

V2 = 150 cm3; T2 = ?

P2 = 2P1.

Using the Ideal Gas Equation:

P1V1T1=P2V2T2

P1×200300=2P1×150T2

23=300T2

T2 = 450K.

= 450K - 273K

= 177°C

177 - 27 = 150

That is the amount by which T1 must be increased.