A thermal physics question about steam and coffee, please could you help?

[slingboi]

Homework Statement

A coffee machine in a café passes steam at 100°C into 0.18kg of cold coffee (s.h.c. the same as that of water(4200j/kg/K)) to warm it. If the initial temperature of the coffee is 14°C, what mass of steam must be supplied to raise the temperature of the coffee to 85°C

Homework Equations

E = mcΔθ
possibly E = ml ?

The Attempt at a Solution

I have thought.
E = mcΔθ
= (0.18)(4200)(71)
= 53676J
so 53676J of energy is needed to increase the temperature of the cold coffee from 14°C to 85°C

OK so the steam is at 100°C so it is at 373.15K
how can I use the temperature of the steam to find out how much steam would be needed to increase the temperature of the cold coffee to 85°C?
Would the steam need to be condensed?
How could i go about finding out how much energy a unit of mass of steam would have?

 

[Chestermiller]

Homework Statement

A coffee machine in a café passes steam at 100°C into 0.18kg of cold coffee (s.h.c. the same as that of water(4200j/kg/K)) to warm it. If the initial temperature of the coffee is 14°C, what mass of steam must be supplied to raise the temperature of the coffee to 85°C

Homework Equations

E = mcΔθ
possibly E = ml ?

The Attempt at a Solution

I have thought.
E = mcΔθ
= (0.18)(4200)(71)
= 53676J
so 53676J of energy is needed to increase the temperature of the cold coffee from 14°C to 85°C

OK so the steam is at 100°C so it is at 373.15K
how can I use the temperature of the steam to find out how much steam would be needed to increase the temperature of the cold coffee to 85°C?
Would the steam need to be condensed?
How could i go about finding out how much energy a unit of mass of steam would have?

Yes, you need to condense the steam. Look up the heat of vaporization of water at its normal boiling point 100C.