Answer:
266.7k
Explanation:
Given parameters:
Initial pressure = 36Pa
Initial temperature = 300k
New pressure = 32Pa
Unknown:
New temperature = ?
Solution:
To solve this problem, we have to apply the combined gas law when the volume is constant;
in this instant, when the volume is constant, the pressure of a given mass of gas varies directly with the absolute temperature.
[tex]\frac{P_{1} }{T_{1} }[/tex] = [tex]\frac{P_{2} }{T_{2} }[/tex]
P and T are pressure and temperature
1 and 2 are initial and final states
Insert the parameters and solve;
[tex]\frac{36}{300}[/tex] = [tex]\frac{32}{T_{2} }[/tex]
T₂ = 266.7k
