Question

In: Chemistry

calculate the amount of energy required to convert saturated water at 150 kpa to superheated steam...

calculate the amount of energy required to convert saturated water at 150 kpa to superheated steam at 180 C and at the same pressure.

Solutions

Expert Solution

As there is no mention of amout of Water I would assume it as 1 gm

And temperture of the saturated water = 250 = 298 K

SO

Okay, we first need to calculate the amount of heat energy required to raise the temperature of water to its boiling point(100°C) using the formula Q= mcθ where Q is the amount of heat energy required, m is the mass of the sample of water, c is the specific heat capacity of water and θ is the change in temperature.

Q= (1)(0.999043976)(100-25)
= 74.92 cal

We now need to calculate the amount of heat energy required to convert the sample of water to steam at its boiling point using the formula Q= mL where Q is the amount of heat energy required, m is the mass of the sample of water and L is the latent heat of vapourisation of water.

Q= (1)(540)
= 540 cal

Now, we shall calculate the amount of heat energy required to raise the temperature of the steam to 180°C using the formula Q= mcθ.

Q= (1(0.485)(180-100)
= 38.8 cal

Finally, we add up the amount of heat energy required at each of the three stages to determine the net amount of heat energy required, Q

Q= (74.92)+(540)+(38.8)
= 653.72 cal

correct to 2 significant figures.


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