When the temperature of a closed vessel containing a gas is increased by 273 °C, the pressure was found to increase by 20%. What is the initial temperature of the closed vessel?

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Answer:

Hey There!

The answer is 1365k

Explanation:

Refer to the attached picture.

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Answer:

Solution given;

1st temperature [t1]=T

initial temperature [t2]=T+273°C

1st pressure [P]=P

and

initial pressure[P2]=P+20%of P=120/100V=1.2P

now

we have

According to Gay lussac's law

P[tex] \alpha [/tex] T

[tex] \frac{P}{T} [/tex]=K where k is constant

at 2 different states

[tex] \frac{P1}{T1} [/tex]=[tex] \frac{P2}{T2} [/tex]

  • [tex] \frac{P}{T} [/tex]=[tex] \frac{1.2P}{T+273} [/tex]

[tex] \frac{T+273}{T} [/tex]=[tex] \frac{1.2P}{P} [/tex]

doing crisscrossed multiplication

T+273=1.2T

273=1.2T-T

0.2T=273

T=[tex] \frac{273}{0.2} [/tex]=1365°C or 1365K

Initial temperature of the closed vessel is 1365°C or 1365K.