How many kilocalories of heat are needed to melt 65.0 g of ice at 0 °C?

21.7 kj

Explanation:

The heat required to change the phase of a matter is calculated by using the latent heat formula, Q=ML, where M is the mass released or absorbed during the phase change and L is the latent heat of a material. Since ice is melted into water, this process is technically called the heat of endorthermic phase change that is Q_in=ml

The latent heat of water is 334 kg/kj. In order to melt 65. 0g of ice Q=0.065 x 334kj/kg =21.71 of heat required

it should be p1 v1 = p2 v2