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You have two rods, one is made of aluminum and the other is made of Pyrex glass. At T = 0℃, the length of the aluminum rod is LA???? = 3.070
Question
You have two rods, one is made of aluminum and the other is made of Pyrex glass. At T = 0℃, the length of the aluminum rod is LA???? = 3.070 m, and the length of the Pyrex rod is LPyrex = 3.100 m. You are given that the coefficient of linear expansion for aluminum is ????A???? = 24 × 10−6 1 ℃ and ????Pyrex = 3.3 × 10−6 1 ℃ . Please keep 4 significant figures in all your results. a. At what temperature will the aluminum rod and the Pyrex rod have the same length?
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Physics
4 years
2021-07-15T07:43:33+00:00
2021-07-15T07:43:33+00:00 1 Answers
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Answer:
Explanation:
The length of rod after rise in temperature can be calculated by the formula
Let after rise in temperature of Δt in both , they become equal in length
3.07 ( 1 + 24 x 10⁻⁶Δt ) = 3.1 ( 1 + 3.3 x 10⁻⁶ Δt )
3.07 + 73.68 x 10⁻⁶Δt = 3.1 + 10.23 x 10⁻⁶ Δt
.03 = 63.45 x 10⁻⁶Δt
Δt = 472.8
At 472.8 °C they will have same length .