Question

With a solidification factor of $0.97\times {10}^{6}s/m^2$, the solidification time (in seconds) for a spherical casting of 200 mm diameter is

• A. 4311
• B. 3233
• C. 539
• D. 1078

Answer 1

The correct option is D 1078

$\text{Given data:}$

$\text{d = 200 mm, r = 100 mm = 0.1 m}$

$\text{According to Chvorinov's rule :}$

$\text{Solidification time,}$

$t=Q{\left(\frac{V}{A}\right)}^2$

$\text{where Q is solidification factor}$

$t=0.97\times {10}^6{\left(\frac{\frac{4}{3}\pi {\left(0.1\right)}^3}{4\pi {\left(0.1\right)}^2}\right)}^2$

$t=0.97\times {10}^6{\left(\frac{0.1}{3}\right)}^2$

$\text{= 1077.78 sec}$

$\text{= 1078 sec}$