Physics, 06.04.2021 18:30 littleprinces
The volume of a gas decreases from 15.7 mºto 11.2 m3 while the pressure changes from 1.12 atm to 1.67 atm. If the
initial temperature is 245 K, what is the final temperature of the gas?
O 117 K
230 K
261K
.
O 512K
Answers: 2
, if this gas is an ideal gas, and that the quantity of this gas stayed constant during these changes. 
and 
denote the pressure of this gas before and after the changes.
and 
denote the volume of this gas before and after the changes.
and 
denote the temperature (in degrees Kelvins) of this gas before and after the changes.
and 
denote the quantity (number of moles of gas particles) in this gas before and after the changes.
and 
should both be equal to the ideal gas constant, 
. 
.
.
.
.
, 
.![\begin{aligned} T_2 &= \frac{P_2}{P_1} \cdot \frac{V_2}{V_1} \cdot \frac{n_1}{n_2}\cdot T_1 \\[0.5em] &= \frac{1.67\; \rm atm}{1.12\; \rm atm} \times \frac{11.2\; \rm m^{3}}{15.7\; \rm m^{3}} \times 1 \times 245\; \rm K \\[0.5em] &\approx 261\; \rm K\end{aligned}](/tpl/images/1241/9185/8cd10.png)
.
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The volume of a gas decreases from 15.7 mºto 11.2 m3 while the pressure changes from 1.12 atm to 1.6...
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