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 Finding the final volume of a gas? Physics?

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A fixed quantity of an ideal gas has a pressure, volume and temperature given by P1, V1, and T1. The pressure and temperature of the gas are both doubled. What is the final volume of the gas, V2 in terms of V1.

Incase this helps somehow, the answer choices are: 

a) (V1)/2

b) V1

c) 2V1

d) 4V1

 Apr 16, 2014

Best Answer 

 #1
avatar+6251 
+8

$$P V = n R T$$

$$V1 = \dfrac {n R T}{P}$$

$$V2 = \dfrac {n R (2 T)}{(2P)}=\dfrac{n R T}{P}=V1$$

$$V2=V1$$

.
 Apr 18, 2014

2+0 Answers

 #1
avatar+6251 
+8
Best Answer

$$P V = n R T$$

$$V1 = \dfrac {n R T}{P}$$

$$V2 = \dfrac {n R (2 T)}{(2P)}=\dfrac{n R T}{P}=V1$$

$$V2=V1$$

Rom Apr 18, 2014
 #2
avatar+564 
+5

Thank you so much!

 May 2, 2014

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