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if the rate of oxygen gas at 20°C is 625m/sec and the rate of an unknown gas is 425m/sec at the same temperature what is the molar mass of the unknown gas

User JDurstberger
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1 Answer

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In this question, we have to use Graham's law of effusion in order to find the molar mass of this unknown gas, the formula is the following:

r1/r2 = √ M2/M1

Where:

r1 = rate of gas 1, in this case oxygen, 625 m/sec

r2 = rate of gas 2, unknown gas, 425 m/sec

M1 = molar mass of gas 1, oxygen, 32g/mol

M2 = molar mass of gas 2, unknown

Adding the values into the formula:

625/425 = √ M2/32

1.47 = √ M2/32

(1.47)^2 = M2/32

2.16 = M2/32

M2 = 32 * 2.16

M2 = 69.12g/mol is the molar mass of this gas

User Robthebloke
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