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deff fn [24]
3 years ago
14

What is the initial temperature (°C) of a system that has the pressure decreased by 10 times while the volume increased by 5 tim

es with a final temperature of 150 K?
Chemistry
1 answer:
Ede4ka [16]3 years ago
8 0

Answer:

300K

Explanation:

Given pressure of the system decreased by 10 times which means P_{2} =\frac{P_{1} }{10}

Given the volume of the system increased by 5 times which means V_{2} =5\times V_{1}

Given final temperature T_{2}=150K

Let the initial temperature be T_{1}

We know that PV=nRT

As n and R are constant \frac{PV}{T}=constant

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

T_{1} =\frac{P_1V_1}{P_2V_2} T_{2}

T_{1} =2\times T_{2}

T1=300K

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