Question

A round bottom flask contains 200ml of gas at 27°C and 70cm of Hg. Find the final pressure when it is transferred in a conical flask of 75ml. capacity at a temperature of 57°C​

Answer 1

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Final pressure of gas is 205.33 cm of Hg

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Initial Conditions

$\sf{P_1 = 70 cm \: of \: Hg}\\ \sf{V_1=200ml}\\ \sf{V_1=200ml}\\ \sf{T_1=27°C = 300K}</p><p>$

Final Conditions

$\sf{P_2 = x}\\ \sf{V_2=75ml}\\ \sf{V_1=200ml}\\ \sf{T_2=57°C = 330K}$

Using the gas equation $\sf{ \dfrac{P_1V_1}{T_1}=\dfrac{P_2V_2}{T_2}}$

Substituting the values,

$\sf{ \dfrac{70 \times 200}{300}=\dfrac{P_2 \times 75}{330}}$

$\sf{P_2 = \dfrac{70 \times 200 \times 330}{75 \times 300} }$

$\sf \: P_2 = 205.33cm \: of \: Hg$

∴ The final pressure of the gas is 205.33 cm of Hg

Answer 2

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