NEET2013PhysicsThermal Properties of MatterActual
The density of water at 20^ C in 998 ~kg / m ^3 and at a 40^ C 992 ~kg / m ^3 . The cocfficient of volume expansion of water is:
Options
- A3 10⁻⁴ / ^ C
- B2 10⁻⁴ / ^ C
- C6 10⁻⁴ / ^ C
- D10⁻³ ^ C
Correct answer
A. 3 10⁻⁴ / ^ C
Step-by-step solution
According to the question aligned & T₁=20^ C , T₂=40^ C & _r=998 ~kg / m ^3 ₄₀=992 ~kg / m ^3 & So, _ T ₂ = _ T ₁ (1+ v T) = _ T ₁ 1+ v (T₂-T₁ ) aligned Putting the values we get aligned & 992= 998 1+v(40-20) & 992= 998 1+20 v & 992(1+20 v )=998 & 1+20 v = 998 992 & 20 v = 6 992 & v = 6 992 1 20 =3 10⁻⁴ / ^ aligned