Question

3) A brass rod is 69.5 cm long (lb) and an aluminum rod is 49.0 cm long (la) when both rods are at an initial temperature (Ti) of 0°C. The rods are placed in line with a gap of 1.5 cm between them, as shown in the figure. The distance between the far ends of the rods is maintained at 120.0 cm throughout. The temperature of both rods is raised (Tf) until the two rods are barely in contact. The coefficients of linear expansion of brass (?b) and aluminum (?a) are 2.0 × 10?? K?¹ and 2.4 × 10?? K?¹, respectively. Also, let ?lb, ?la be the linear expansions of brass and aluminum rods respectively. 120.0 cm 69.5 cm Brass 49.0 cm Aluminum (a) Write down expressions for ?lb, ?la taking the temperature difference as ?T=Tf-Ti. ?lb = ?la = (b) What is the value of (?lb + ?la) ? (?lb + ?la) = (c) Calculate ?T. (d) What is the final temperature Tf?

          3) A brass rod is 69.5 cm long (lb) and an aluminum rod is 49.0 cm long (la) when both rods are at an initial temperature (Ti) of 0°C. The rods are placed in line with a gap of 1.5 cm between them, as shown in the figure. The distance between the far ends of the rods is maintained at 120.0 cm throughout. The temperature of both rods is raised (Tf) until the two rods are barely in contact. The coefficients of linear expansion of brass (?b) and aluminum (?a) are 2.0 × 10?? K?¹ and 2.4 × 10?? K?¹, respectively. Also, let ?lb, ?la be the linear expansions of brass and aluminum rods respectively.

120.0 cm
69.5 cm Brass
49.0 cm Aluminum

(a) Write down expressions for ?lb, ?la taking the temperature difference as ?T=Tf-Ti.

?lb =

?la =

(b) What is the value of (?lb + ?la) ?

(?lb + ?la) =

(c) Calculate ?T.

(d) What is the final temperature Tf?

3) A brass rod is 69.5 cm long (lb) and an aluminum rod is 49.0 cm long (la) when both rods are at an initial temperature (Ti) of 0°C. The rods are placed in line with a gap of 1.5 cm between them, as shown in the figure. The distance between the far ends of the rods is maintained at 120.0 cm throughout. The temperature of both rods is raised (Tf) until the two rods are barely in contact. The coefficients of linear expansion of brass (?b) and aluminum (?a) are 2.0 × 10?? K?¹ and 2.4 × 10?? K?¹, respectively. Also, let ?lb, ?la be the linear expansions of brass and aluminum rods respectively.

120.0 cm
69.5 cm Brass
49.0 cm Aluminum

(a) Write down expressions for ?lb, ?la taking the temperature difference as ?T=Tf-Ti.

?lb =

?la =

(b) What is the value of (?lb + ?la) ?

(?lb + ?la) =

(c) Calculate ?T.

(d) What is the final temperature Tf?

Added by Carla B.

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