Answer:
Relative rate of effusion for the orange to blue spheres = 1.531
Explanation:
Rate of effusion of Orange / Rate of effusion of blue = [Mblue / Morange]^1/2
Vrms = sqrt [(3RT/M)]
Vorange / Vblue = [ Mblue / Morange]^1/2
Rate of effusion of Orange / Rate of effusion of blue = 565/ 369 = 1.531
Answer:
The rate of effusion of blue is 1.53 times that of orange
Explanation:
Rate of effusion of a gas at a given temperature is directly proportional to the speed of the gas and inversely proportional to their masses.
At equal temperature, two gases will have equal amount of kinetic energy.
K.E = ½mv²
K.E = 3/2 KT
MV² = 3KT
V² = 3KT / M (single molecule of a gas)
U² = 3RT /M ( mole of molecule )
3RT = MU²
RT = constant,
M1U²1 = M2U²2 for different gases at equal temperature.
Relationship between speed and rate of effusion =
m1r²1 = m2r²2 ( speed is equal to the rate of effusion)
M1 / M2 = r²2 / r²1
M(blue) / M(orange) = r²(orange) / r²(blue)
M(blue) / M(orange) = 565 / 369
M(blue) / M(orange) = 1.53
The molar mass of the blue gas is 1.53 times heavier than the orange gas.
