for a gas in a closed container its pressure is found to be 400 N/m^2 at 27 C. If temp raise to 54 C, what would pressure become?
a 800 N/m^2
b 436 N/m^2.
answer key says b but i say it is a

Question

for a gas in a closed container its pressure is found to be 400 N/m^2 at 27 C. If temp raise to 54 C, what would pressure become?
a 800 N/m^2
b 436 N/m^2. 
answer key says b but i say it is a

abhisar · Answer

You can use the combined gas law or $\large \sf PV=nRT$ to solve this. Here volume(V), number of moles(n) and universal gas constant(R) will be constant. So $\large \sf P\propto T$

abhisar · Answer

Therefore,
$\hspace{10pt}\large \sf \frac{P_1}{P_2}=\frac{T_1}{T_2}$

abhisar · Answer

$\bigstar$ Before moving further convert given temperatures into kelvin

abhisar · Answer

Got it ?

anonymous · Answer

ye thx i guess this problem required different thinking. I thought I could approach this like the other questions where if the temperature doubled i can use the ideal gas law and c that the pressure would double since they are proportional to eachother

abhisar · Answer

I think u were not converting the temp into kelvins

abhisar · Answer

U can apply the ideal gas law once u have converted the temps into kelvin. I have done the same thing

anonymous · Answer

i guess the pressure wouldnt necessarily double since the volume would stay the same

abhisar · Answer

But since, 27°C = 300K and 54°C = 327K. You can see that 327 is not actually double of 300

abhisar · Answer

getting it ?
don't compare the temperature given in the question. it is in centigrade.

anonymous · Answer

o ok i am just trying to answer the question fast since i would have to when taking the exam. this question just looks very familiar to other questions where i would just compare the initial to end conditions and use the ideal gas equation to answer. thanks anyways

abhisar · Answer

Did you know you can give medals to people who help you with questions? Just click the $\color{blue}{\text{blue "best response" button}}$ to show appreciation for the people who help you.

abhisar · Answer

$\color{red}{\huge\bigstar}\huge\text{You're Most Welcome!  }\color{red}\bigstar$
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