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A chamber with a fixed volume is shown above. The temperature of the gas inside the chamber before heating is 25.2 C and it’s pressure is 0.600 atm. The gas is heated with a flame to a temperature of 72.4 C, what is it’s pressure at this temperature

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Answer:

0.695

Explanation:

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The pressure the gas exerts at a new temperature is required.

The pressure at the required temperature is 0.695 atm.

Gas laws

[tex]P_1[/tex] = Initial pressure = 0.600 atm

[tex]T_1[/tex] = Initial temperature = 25.2°C = 25.2+273.15 = 298.35 K

[tex]T_2[/tex] = Final temperature = 72.4°C = 72.4+273.15 = 345.55 K

[tex]P_2[/tex] = Final pressure

As volume and number of moles is constant we have the relation

[tex]\dfrac{P_1}{T_1}=\dfrac{P_2}{T_2}\\\Rightarrow P_2=\dfrac{P_1}{T_1}\times T_2\\\Rightarrow P_2=\dfrac{0.6}{298.35}\times 345.55\\\Rightarrow P_2=0.695\ \text{atm}[/tex]

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