The gas inside of a container exerts $15 P a$ $15 Pa$ of pressure and is at a temperature of $640^{o} K$ $640 ^o K$ . If the pressure in the container changes to $36 P a$ $36 Pa$ with no change in the container's volume, what is the new temperature of the gas?

Question

The gas inside of a container exerts $15 P a$ $15 Pa$ of pressure and is at a temperature of $640^{o} K$ $640 ^o K$ . If the pressure in the container changes to $36 P a$ $36 Pa$ with no change in the container's volume, what is the new temperature of the gas?

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Answer 1 · 2016-11-14T00:49:50

The final temperature will be 1500 K.

Explanation:

This question is an example of Guy-Lussac's law which states that the pressure of a given amount of gas held at constant volume, is directly proportional to its Kelvin temperature.

The equation to use is:
http://me-mechanicalengineering.com/gas-laws/

Known
$P_{1} = 15 Pa$ $P_1="15 Pa"$
$T_{1} = 640 K$ $T_1="640 K"$
$P_{2} = 36 Pa$ $P_2="36 Pa"$

Unknown
$T_{2}$ $T_2$

Solution
Rearrange the equation to isolate $T_{2}$ $T_2$ . Substitute the known values into the equation and solve.

$T_{2} = \frac{P_{2} T_{1}}{P_{1}}$ $T_2=(P_2T_1)/P_1$

$T_2=(36cancel"Pa"xx640"K")/(15cancel"Pa")="1500 K"$ rounded to two significant figures

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The gas inside of a container exerts $15 P a$ $15 Pa$ of pressure and is at a temperature of $640^{o} K$ $640 ^o K$ . If the pressure in the container changes to $36 P a$ $36 Pa$ with no change in the container's volume, what is the new temperature of the gas?

1 Answer

Explanation:

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The gas inside of a container exerts 15 Pa15Pa15 Pa of pressure and is at a temperature of 640 ^o K640oK640 ^o K. If the pressure in the container changes to 36 Pa36Pa36 Pa with no change in the container's volume, what is the new temperature of the gas?

1 Answer

Explanation:

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The gas inside of a container exerts $15 P a$ $15 Pa$ of pressure and is at a temperature of $640^{o} K$ $640 ^o K$ . If the pressure in the container changes to $36 P a$ $36 Pa$ with no change in the container's volume, what is the new temperature of the gas?