How do I calculate the work done by melting ice?

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To calculate the work done by melting ice, start with the latent heat of fusion, which is 3.348 x 10^5 J/kg. For 1 kilomole of ice, convert the mass to kilograms using the density of ice (917 kg/m^3) and the density of water (999.9 kg/m^3) to find the volumes. The work done can be expressed as W = P(V2 - V1), where P is the pressure at which ice melts, typically 1 atm. The pressure can be calculated using the ideal gas law, but it’s essential to recognize that the transition from solid to liquid does not strictly adhere to gas laws. Understanding these principles will clarify how to approach the calculation of work done in this phase change.
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Okay, if you have 1 kilomole of ice melting at 0 C and you have a given latent heat of fusion of ice as 3.348 x 10^5 J/kg and the density of ice as 917 kg/m^3 and te density of water as 999.9 kg/m^3, I don't understand how to find the work done.

I know that work done is PdV, so it should be W=P(V2-V1).

I understand that the volumes is the mass in kg of the water molecules over the densities of ice and water. But how do you solve P?

P=nRT/V. so P = (1 kilomole)(8.314 x 10^3 j/kK)(273 K)/V.

I don't really understand how to solve for V.
 
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There's only one pressure where ice melts at 0°C. You're not really trying to bring the ideal gas law into a question about a solid and a liquid, are you?
 
1 atm?
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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