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...

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.