1. Suppose you have 1.00 mol of liquid water at 0.0 C and add just enough heat to bring the temperature of the water to 100.0 °C, but no more heat is added. How much heat was added?

Heat Q = m·c·ΔT

Explanation: Mass of 1.00 mol water m= 18.016 g. Heat capacity of water is

c= 4.19 J/( g K) and change of temperature ΔT= 100 K

the ideal gas law equation is as follows

pv = nrt

where p - pressure

v - volume

n - number of moles

r - universal gas constant

t - temperature

so if the pressure, volume and temperature are already known

we are left with n and r

since r is the universal gas constant that has a known fixed value then r too is known

so we are left with 'n'

once we know temperature volume and pressure

we can find the number of moles of gas present using the ideal gas law equation

this is not my own answer, this is an answer for the same question by the user blahblahmali. i do not claim ownership of this account.