(Solved): The following equation represents the relation between pressure, temperature and volume for a spec ...

The following equation represents the relation between pressure, temperature and volume for a specific suite of minerals. $$V=n\left(a+bT+c{T}^2?dP?ePT\right)$$ Where $$a,b,c,d$$, and $$e$$ are constants, the values for each constant are given below, and $$n$$ represents the number of moles. The units for volume, $$V$$, is $${\mathrm{cm}}^3$$. Find the first partial derivatives with respect to temperature and pressure. For an irreversible reaction, use the first partial derivative for temperature, 10 moles of the solid, and a pressure of 1 bar, to calculate the change in volume if temperature increased from $$298\mathrm{K}$$ to $$348\mathrm{K}$$. Constants: