40m3 of liquid is mixed with 60m3 of another liquid Q. If the density of P and Q are 1.00kgm-3 and 1.6kgm-3 respectively, what is the density of the mixture...
Question 1 Report
40m3 of liquid is mixed with 60m3 of another liquid Q. If the density of P and Q are 1.00kgm-3 and 1.6kgm-3 respectively, what is the density of the mixture?
Answer Details
To solve this problem, we can use the formula:
Density = Mass/Volume
We are given the volume of each liquid, but we need to find their masses. We can find the mass of each liquid using the formula:
Mass = Density x Volume
For liquid P, Mass = 1.00 kgm^-3 x 40m^3 = 40 kg
For liquid Q, Mass = 1.6 kgm^-3 x 60m^3 = 96 kg
The total mass of the mixture is the sum of the masses of each liquid: 40 kg + 96 kg = 136 kg
The total volume of the mixture is the sum of the volumes of each liquid: 40 m^3 + 60 m^3 = 100 m^3
Now we can calculate the density of the mixture using the formula:
Density = Mass/Volume
Density = 136 kg/100 m^3 = 1.36 kgm^-3
Therefore, the density of the mixture is 1.36 kgm^-3, which corresponds to the fourth option.
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