The heat of combustion of ethane gas is 373 kcal. Per mole. Assum… - Vidyadip

Question

The heat of combustion of ethane gas is $373$ kcal. Per mole. Assuming that $50\%$ of heat is lost, how many litres of ethane measured at STP must be burnt to convert $50g$ of water at $10°C$ to steam at $100°C$? One mole of gas occupies $22.4$ litres at STP. Take latent heat of steam = $2.25 \times 10^6J/g^{-1}$.

✓

Answer

Total heat energy required to convert 50g of water at $10^\circ C$ to steam at $100^\circ C$, $=\text{cm}\Delta\text{T}+\text{mL}$
$=1000\times50\times(100-10)+\frac{50\times2.25\times10^6}{4.2}$
$=4.5\times10^6+26.79\times10^6$
$=31.29\times10^6\text{ cal}$ As 50% of heat is lost, $\therefore$ Total heat product = $2 \times 31.29 \times 10^6cal$ Heat of combustion = $373 \times 10^3cal/mole$
$\therefore$ No. of mole of ethane to be burnt, $=\frac{2\times31.29\times10^6}{373\times10^3}\text{mole}$ Volume of ethane, $=\frac{2\times31.29\times10^6}{373\times10^3}$
$=3758.2\text{ liters}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "3 Marks Question" from Thermodynamics→Thermodynamics — all question types→Physics STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

A monkey is climbing on a rope that goes over a smooth light pulley and supports a block of equal mass at the other end figure. Show that whatever force the monkey exerts on the rope, the monkey and the blockmove in the same direction with equal acceleration. If initially both were at rest, their separation will not change as time passes.

A wheel starting from rest is uniformly accelerated at $4 rad/-s^2$ for $10$ seconds.It is allowed to rotate uniformly for the next $10$ seconds and is finally brought to rest in the next 10 seconds. Find the total angle rotated by the wheel.

What is meant by monochromatic emittance, emissive power, emissivity and monochromatic absorbtance.

The current through a wire depends on time as $\text{i}=\text{i}_0+\alpha\text{t},$
Where $\text{i}_0=10\text{A}$ and $\alpha=4\text{A/ s}.$ Find the charge that crosses through a section of the wire in 10 seconds.

The wheel of a car is rotating at a speed of 20 revolutions/second. If due to acceleration its rotation speed becomes 75 revolutions/second in 10 seconds, then find the angular acceleration and angular displacement after this time

A pendulum of length $l$ is attached with a bob and placed in a lift. What will be time period when the lift is :

Having uniform motion upwards.
Accelerated upwards by a.
Accelerated downward by a?

A wire cable $10m$ long consists of $40$ strands of steel each $5 \times 10^{-6}m^2$ in cross-section. By how much does the cable stretch when it is used to lift a crate weighing $4000N$? Young's modulus of steel = $20 \times 10^{10}Nm^{-2}$.

The speed of light in air is $3.00 \times 10^8 \mathrm{~ms}^{-1}$. The distance travelled by light in one year (i.e., 365 days $=3.154 \times 10^7 \mathrm{~s}$ ) is known as light year. A student calculates one light year $=9.462 \times 10^{15} \mathrm{~m}$. Do you agree with the student? If not, write the correct value of one light year.

An aeroplane is flying in a horizontal direction with a velocity of $600km/ h$ and at a height of $1960m$. When it is vertically above the point A on the ground, a body is dropped from it. The body strikes the ground at point B. Calculate the distance AB.

Obtain an expression for position vector of centre of mass of a two particle system.