A copper rod is 0.450 m long. Heat is added to the rod until it expands by 0.00130 m. How much did the temperature change? (Unit=C)

Respuesta :

Answer:

[tex]170^{\circ} C[/tex]

Explanation:

Using the constants of copper as provided in the attached figure

We know that the change in length

[tex]\triangle L= L\triangle T \alpha[/tex]

Where [tex]\triangle l[/tex] is the change in length, L is the original length, [tex]\triangle T[/tex] is the change in temperature and [tex]\alpha[/tex] is a constant already given (attached)

Making [tex]\triangle T[/tex] the subject then

[tex]\triangle T=\frac {\triangle L}{L \alpha}[/tex]

By substitution

[tex]\triangle T=\frac {0.00130 m}{0.450 m \times 17\times 10^{-6}}=169.9346405 ^{\circ} C\approx 170^{\circ} C[/tex]

Ver imagen opudodennis

Correct Answer:

[tex]170^{\circ} C[/tex]