A parcel of unsaturated air contains a mixture of dry air and water vapor. The specific humidity q of the air parcel is 12 g kg^−1. Recall that q = Mv / (Mv+Md),where Mv is the mass of the water vapor and Md is the mass of the dry air. This is equivalent to what we have been calling the fractional concentration of water vapor by mass. (a) If the air parcel is at a temperature T= 25◦C , what is the virtual temperature of the air parcel? (b) If the air parcel is at a temperature T= 25◦C and a pressure of 1000 hPa, what is the relative humidity of the air parcel? (c) What is the apparent molar mass of the air parcel?

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A parcel of unsaturated air contains a mixture of dry air and water vapor. The specific humidity q of the air parcel is 12 g kg^−1. Recall that q = Mv / (Mv+Md),where Mv is the mass of the water vapor and Md is the mass of the dry air. This is equivalent to what we have been calling the fractional concentration of water vapor by mass.

(a) If the air parcel is at a temperature T= 25◦C , what is the virtual temperature of the air parcel?

(b) If the air parcel is at a temperature T= 25◦C and a pressure of 1000 hPa, what is the relative humidity of the air parcel?

(c) What is the apparent molar mass of the air parcel?

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