q=m Csp AT Where: q = energy transferred as heat m = mass Csp = specific heat AT = change in temperature NOTE: Write AT as dT (with no spaces) and Csp as C for the answers below. In order to solve for the change in temperature, AT, you must multiply both sides of the equation by the same expression: q x= m Csp ^ Tx The resulting equation is: AT=

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### Heat Transfer Equation

The equation for heat transfer is given by:

\[ q = m \, C_{sp} \, \Delta T \]

#### Where:
- \( q \) = energy transferred as heat
- \( m \) = mass
- \( C_{sp} \) = specific heat
- \( \Delta T \) = change in temperature

#### Note:
- Write \( \Delta T \) as \( dT \) (with no spaces) and \( C_{sp} \) as \( C \) for the answers below.

### Solving for Change in Temperature (\( \Delta T \)):
To solve for the change in temperature (\( \Delta T \)), you must multiply both sides of the equation by the same expression.

The equation you need to modify is:

\[ q \times \boxed{ } = m \, C_{sp} \, \Delta T \times \boxed{ } \]

After manipulating the equation correctly, you get the resulting equation:

\[ \Delta T = \boxed{ } \]

You need to fill in the boxes with the correct expressions to isolate \(\Delta T\). The strategy involves dividing both sides of the equation by the product \( m \times C_{sp} \).

Thus, the complete procedural steps are:

\[ \Delta T = \frac{q}{m \times C_{sp}} \]

Make sure to replace \( \Delta T \) with \( dT \) and \( C_{sp} \) with \( C \) in your final answer as specified in the notes.
Transcribed Image Text:### Heat Transfer Equation The equation for heat transfer is given by: \[ q = m \, C_{sp} \, \Delta T \] #### Where: - \( q \) = energy transferred as heat - \( m \) = mass - \( C_{sp} \) = specific heat - \( \Delta T \) = change in temperature #### Note: - Write \( \Delta T \) as \( dT \) (with no spaces) and \( C_{sp} \) as \( C \) for the answers below. ### Solving for Change in Temperature (\( \Delta T \)): To solve for the change in temperature (\( \Delta T \)), you must multiply both sides of the equation by the same expression. The equation you need to modify is: \[ q \times \boxed{ } = m \, C_{sp} \, \Delta T \times \boxed{ } \] After manipulating the equation correctly, you get the resulting equation: \[ \Delta T = \boxed{ } \] You need to fill in the boxes with the correct expressions to isolate \(\Delta T\). The strategy involves dividing both sides of the equation by the product \( m \times C_{sp} \). Thus, the complete procedural steps are: \[ \Delta T = \frac{q}{m \times C_{sp}} \] Make sure to replace \( \Delta T \) with \( dT \) and \( C_{sp} \) with \( C \) in your final answer as specified in the notes.
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