The coefficient of volume expansion of glycerine is 49 10⁻⁵⁰ C ⁻¹ . What is the fractional change in density for a 30^ C rise in temperature?

Step-by-step solution

Here, =49 19⁻⁵ ^ C ⁻¹ aligned T & =30^ C V ^ & = V + V = V ( l + T ) aligned V ^ = V (1+49 10⁻⁵ 30 )=1.0147 ~V = m V and ^ = m V ^ = m 0.0147 =0.9855 Hence, fractional change in density = - ^ = -0.9855 =0.0145