Steam = 100C -- how much steam got injected into the water to heat it up?

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Homework Help Overview

The discussion revolves around a thermal physics problem involving the heating of water by steam at 100°C. Participants are exploring the heat transfer involved in this process and the calculations necessary to determine the amount of steam injected into the water.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants are attempting to set up a heat balance equation, questioning how to calculate the heat given off by the steam and the heat absorbed by the water. There is uncertainty regarding the definitions and roles of various variables in the equations.

Discussion Status

The discussion is ongoing, with participants providing hints and guidance on setting up the heat balance. Some are questioning the definitions and assumptions involved in the problem, while others are trying to clarify the relationships between the quantities involved.

Contextual Notes

There is a mention of ideal conditions for steam cooling and the practical implications of this process. Participants are also reminded not to seek full solutions, indicating a focus on learning and understanding rather than simply obtaining answers.

Yeahaight
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Homework Statement
To heat 4 kg of water from 10 C to 90 C, 100 C water vapor was injected. How much steam was injected?
Given values:
m1 = 4kg
t1 = 10 C
t2 = 90 C
t = 100 C
c water = 4,2*10^3 J/kg*k
r = 22,6*10^5 J/K
Relevant Equations
Q = r*m
Q = c*m(t2-t1)
I guess, firstly I have to calculate the heat that is needed.
Q=c*m(t2-t1)
I'm not sure what to do further from here.
 
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Yeahaight said:
I'm not sure what to do further from here
You set up a heat balance: heat given off = heat taken up
 
BvU said:
You set up a heat balance: heat given off = heat taken up
Well, heat taken up would be - Q = c water*m1*(t2-t1)?
I'm not sure about heat given off, though.
 
What is the definition of r?
 
Yeahaight said:
I'm not sure about heat given off, though
So you want to find out how much heat is given off by starting out with x kilograms of water vapour at 100 ##^\circ##C and ending up with ... ?

How do you combine your relevant equations to describe this process ?
 
I have deleted some posts. Please do not provide a full solution, but instead help the OP do the work.
 
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