The gas inside of a container exerts $15 Pa$ of pressure and is at a temperature of $50 ^o K$ . If the temperature of the gas changes to $90 ^oK$ with no change in the container's volume, what is the new pressure of the gas?

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Answer 1 · 2016-10-04T13:30:05

$"The final pressure of gas is 27 Pa."$

$"use the formula : "P_i/T_i=P_f/T_f$

$P_i:"initial pressure"$

$P_f:"final pressure"$

$T_i:"initial temperature"$

$T_f:"final temperature"$

$P_i=15" "Pa$

$P_f=?" "Pa$

$T_i=50 " "K^o$

$T_f=90" "K^o$

$"plug given values:"$

$15/50=P_f/90$

$P_f*cancel(5)cancel(0)=cancel(15)*9cancel(0)$

$P_f=3*9$

$P_f=27" "Pa$

The gas inside of a container exerts 15 Pa15 Pa of pressure and is at a temperature of 50 ^o K50 ^o K. If the temperature of the gas changes to 90 ^oK90 ^oK with no change in the container's volume, what is the new pressure of the gas?