Physics question here help please.Is my solution correct?

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SUMMARY

The discussion centers on a gas problem involving 4 moles at an initial temperature of 300 K and pressure of 10 atmospheres. After a change of state with a temperature decrease of 50 K and a volume increase of 10 liters, the final temperature is calculated to be 250 K. The initial volume, calculated using the ideal gas law (PV=nRT), was incorrectly assumed to be 997.2 liters, leading to confusion regarding the final volume. The correct approach requires careful unit consideration and accurate pressure values to determine the final volume and pressure.

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A moster of a gas has 4 moles and first is in the temperature 300 K and pressure 10 atmosphere.After a change of state, ∆T= -50 K and ∆V=10 liter.Find the final temperature ,volume and pressure of the gas.


2. Homework Equations

P*v=n*R*T

3. The Attempt at a Solution
So T2-T1=-50 <=> T2=300-50=250 K
Now,to find V2, I thought : Find V1 first and then do V2-V1=∆V. From pv=nRT where T =300,pressure is 10 and the moles are 4. I Find that V1=997.2 here I replace V2-997.2=10 but V2 isn't the same as in my textbook..what did I do wrong
 
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Try to work with units, this could help. I don't think V1=997.2 liters, and if it is something else you cannot simply add 10 to the numerical value.
 
Take a look again at your pressure... It is 10 atmospheres not just 10. You will end up with a much smaller value for volume
 

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