Question

A railway line is laid in segments each 10 m long on a day when the temperature is 2.50 °C. There are gaps of 0.5 cm between the rails. Find the temperature at which a gap will close

Answer 1

The answer to your problem is, 46.75 degree Celsius

Step-by-step explanation:

Let l = 10m = 1000 cm

l = 0.5 cm

t1 = 2.5 degrees Celsius

a ( iron ) = 1.13 x
`10^(-5)`
`K^(-1)`

———————————————————————————————————————

l = l x a ( t2 - t1 )

t2 = t1 +
`(l)/(l*a)`

Enter the data:

T2 = 2.5 +
`(0.5)/(1000*1.13*10^(-5) )` = 46.75 degree Celsius

Thus the answer to your problem is, 46.75 degree Celsius