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A gas has a volume of 543 ml. at a temperature of 75.0°C. What volume will the gas occupy at 20.2°C?

1 Answer

2 votes

Answer:

V₂ = 457.49 mL

Step-by-step explanation:

Given that,

Initial volume,
V_1=543\ mL

Initial temperature,
T_1=75^(\circ) C=75+273=348\ K

Final temperature,
T_2=20.2^(\circ) C=20.2+273=293.2\ K

We need to find the final volume of the gas. The relation between the volume and the temperature of the gas is given by :


(V_1)/(T_1)=(V_2)/(T_2)

Put the respected values,


V_2=(V_1T_2)/(T_1)\\\\V_2=(543* 293.2)/(348)\\\\V_2=457.49\ mL

So, the final volume of the gas is equal to 457.49 mL.

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