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The volume of gas v held at a constant temperature in a closed container varies inversely with it's pressure P. If the V of gas is 1600 cm^3 when the P is 250 mm Hg, find the v when the P is 400 mm Hg?

Respuesta :

[tex]1000\text{ cm}^3[/tex]

Explanation

The volume of gas v held at a constant temperature in a closed container varies inversely with it's pressure P,in math terms it is

[tex]\begin{gathered} V\propto\frac{1}{P} \\ where\text{ V is the volume} \\ P\text{ is the presion} \end{gathered}[/tex]

When Pressure is constant, Volume is directly proportional to temperature.

Step 1

given the data, we need to apply the formula for a constant temperature ,

[tex]\begin{gathered} V_2=\frac{P_1V_1T_2}{T_1P_2} \\ as\text{ the temperature is constatn} \\ V_2=\frac{P_1V_1}{P_2} \end{gathered}[/tex]

so

[tex]\begin{gathered} V_2=\frac{250\text{ mmHg*1600 cm}}{400} \\ V_2=1000\text{ cm}^3 \end{gathered}[/tex]

so, the answer is

[tex]1000\text{ cm}^3[/tex]

I hope this helps you

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