In a winter season, a block is formed of concrete of the volume 2.0 m $^{3}$ at the temperature $5^{o} C$ . Calculate the change in volume of the block at the temperature $35^{o} C$ during summer day given that its coefficient of volume expansion is $4.0 \times 10^{- 5} /^{o} C$ .

160 cm

^{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1,200 cm

^{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1,600 cm

^{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2,400 cm

^{3}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

3,200 cm

^{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is D 2,400 cm $^{3}$
Change in volume of block due to rise in temperature= $V_{0} γ Δ T$
$= 2 m^{3} \times 4.0 \times 10^{- 5} /^{\circ} C \times (35 - 5)^{\circ} C$
$= 2400 c m^{3}$

Suggest Corrections

Similar questions

A one-litre flask contains some mercury. It is found that at different temperatures the volume of air inside the flask remains the same. What is the volume of mercury in the flask? Given the coefficient of linear expansion of glass is $9 \times 10^{- 6}^{\circ} C^{- 1}$ and the coefficient of volume expansion of mercury is $1.8 \times 10^{- 4}^{\circ} C^{- 1}$

A glass flask contains some mercury at room temperature. It is found that at different temperature the volume of air inside the flask remains the same. If the volume of mercury in the flask is $300 c m^{3}$ , then find volume of the flask in $c m^{3}$ (given that coefficient of volume expansion of mercury and coefficient of linear expansion of glass are $1.8 \times 10^{- 4} (^{\circ} C)^{- 1}$ and $9 \times 10^{- 6} (^{\circ} C)^{- 1}$ respectively)

A glass vessel measures exactly 10 cm $\times$ 10 cm $\times$ 10 cm at $0^{\circ} C$ . It is filled completely with mercury at this temperature. When the temperature is raised to $10^{\circ} C$ , $1.6 c m^{3}$ of mercury overflows. Calculate the coefficient of volume expansion of mercury. Coefficient of linear expansion of glass $= 6.5 \times 10^{- 6}^{\circ} C^{- 1}$ .

The density of water at $0^{\circ} C$ is 0.998 g $c m^{- 3}$ and at $4^{\circ} C$ is 1.000 g $c m^{- 3}$ . Calculate the average coefficient of volume expansion of water in the temperature range 0 to $4^{C}$ .

Q. Volume of a given amount of gas at

57^{\circ} C

425.8 {cm}^{3}

. If the temperature is decreased to

37^{\circ} C

at constant pressure, then the volume of the gas would be :

Join BYJU'S Learning Program

In a winter season, a block is formed of concrete of the volume 2.0 m3 at the temperature 5oC. Calculate the change in volume of the block at the temperature 35oC during summer day given that its coefficient of volume expansion is 4.0×10−5/oC.

The correct option is D 2,400 cm3Change in volume of block due to rise in temperature=V0γΔT=2m3×4.0×10−5/∘C×(35−5)∘C=2400cm3

In a winter season, a block is formed of concrete of the volume 2.0 m $^{3}$ at the temperature $5^{o} C$ . Calculate the change in volume of the block at the temperature $35^{o} C$ during summer day given that its coefficient of volume expansion is $4.0 \times 10^{- 5} /^{o} C$ .

The correct option is D 2,400 cm $^{3}$
Change in volume of block due to rise in temperature= $V_{0} γ Δ T$
$= 2 m^{3} \times 4.0 \times 10^{- 5} /^{\circ} C \times (35 - 5)^{\circ} C$
$= 2400 c m^{3}$