How to find m1 in T = ( m1c1T1 + m2c2T2 ) / ( m1c1 + m2c2 )

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SUMMARY

The discussion centers on solving for the mass of one liquid (m1) in the equation T = (m1c1T1 + m2c2T2) / (m1c1 + m2c2). Participants emphasize the necessity of manipulating the linear algebraic equation to isolate m1. The solution requires understanding the relationships between the variables and applying algebraic techniques to derive m1 from the given values of T, c1, T1, c2, and T2.

PREREQUISITES
  • Understanding of linear algebraic equations
  • Familiarity with the concept of specific heat capacity (c)
  • Knowledge of temperature variables (T1, T2)
  • Basic algebraic manipulation skills
NEXT STEPS
  • Practice isolating variables in linear equations
  • Review specific heat capacity calculations
  • Explore examples of mixing liquids and thermal equilibrium
  • Learn about algebraic techniques for solving equations
USEFUL FOR

Students in chemistry or physics, educators teaching thermodynamics, and anyone involved in practical applications of heat transfer and mixing liquids.

YNesterov
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Homework Statement


How to find mass of one of the two liquids being mixed if we know all other variables in this formula T = ( m1c1T1 + m2c2T2 ) / ( m1c1 + m2c2 ) ?

Homework Equations


T = ( m1c1T1 + m2c2T2 ) / ( m1c1 + m2c2 )

The Attempt at a Solution

 
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YNesterov said:

Homework Statement


How to find mass of one of the two liquids being mixed if we know all other variables in this formula T = ( m1c1T1 + m2c2T2 ) / ( m1c1 + m2c2 ) ?

Homework Equations


T = ( m1c1T1 + m2c2T2 ) / ( m1c1 + m2c2 )

The Attempt at a Solution


Hi YNesterov

:welcome:

In order to get help you have to put some efforts first. So, what have you tried so far?

 
Are you saying that you don’t know how to solve a linear algebraic equation in one unknown?
 
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