If a brass sphere with a diameter of 16. 0 cm at 68°F is heated up to a temperature of 284°F. The change in volume of the sphere is 14.67 .
Given,
Diameter of the sphere (d) = 16.0 cm
∴ radius of the sphere (r) =
Initial temperature of the sphere ° F and final temperature °F
Converting temperature from fahrenheit to celcius scale using the relation,
∴ °C
°C
∴Temperature difference ΔT = °C
Now, the co-efficient of linear expansion for brass \°C
Hence, co-efficient of volume expansion \°C
∴ Initial volume of the sphere,
⇒
∴The change in volume at 140°C is,
ΔV
⇒
⇒
∴ If the sphere is heated up to a temperature of 284°F. The change in volume of the sphere is 14.67 .
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