Question

a steam engine delivers 5.4×108 J of work per minute and services 3.6×109 J of heat per minute from its boiler
what is the efficiency of the engine
how much heat is wasted per minute

​

Answer 1

$\checkmark$ Given:

A steam engine delivers 5.4 x 10⁸ J of work per minute and services 3.6 x 10⁹ J of heat per minute from its boiler

$\checkmark$ To Find:

• Efficiency of the engine
• Heat wasted per minute

$\checkmark$ Solution:

We know that,

$\red{\bigstar \ \boxed{\rm \eta=\dfrac{W_{out}}{W_{in}} \times 100 \%}}$

Here,

• $\rm \eta = Efficiency$
• $\rm W_{out} = Work \ outpu t \ (J)$
• $\rm W_{in} = Work \ inpu t \ (J)$

According to the question,

We are asked to find the Efficiency of the engine

So, we must find " $\eta$ "

Given that,

A steam engine delivers 5.4 x 10⁸ J of work per minute and services 3.6 x 10⁹ J of heat per minute from its boiler

Hence,

• $\rm W_{out} = 5.4 \times 10^{8} \ J$
• $\rm W_{in} = 3.6 \times 10^{9} \ J$

Substituting the values,

We get,

$\blue{\rm \implies \eta=\dfrac{5.4 \times 10^{8}}{3.6 \times 10^{9}} \times 100 \%}$

On further simplification,

We get,

$\green{\rm \implies \eta=0.15 \times 100 \%}$

Therefore,

$\red{\rm \implies \eta=15 \%}$

Hence,

$\star$ Efficiency of the engine = 15 %

According to the question,

We are also asked to find the Heat wasted per minute

Hence,

$\pink{\bigstar \ \boxed{\rm \Delta H=W_{in}-W_{out}}}$

Here,

• $\rm \Delta H=Heat \ wasted$
• $\rm W_{out} = Work \ outpu t \ (J)$
• $\rm W_{in} = Work \ inpu t \ (J)$

Given that,

A steam engine delivers 5.4 x 10⁸ J of work per minute and services 3.6 x 10⁹ J of heat per minute from its boiler

Hence,

• $\rm W_{out} = 5.4 \times 10^{8} \ J$
• $\rm W_{in} = 3.6 \times 10^{9} \ J$

Substituting the values,

We get,

$\blue{\rm \Delta H=3.6 \times 10^{9} - 5.4 \times 10^{8}}$

On further simplification,

We get,

$\green{\rm \Delta H=30.6 \times 10^{8} \ J}$

Therefore,

$\pink{\rm \Delta H=3.06 \times 10^{9} \ J}$

Hence,

$\star$ Heat wasted per minute = 3.06 x 10 ⁹ J

Answer 2

Explanation:

thanks lol......

he droped some spam questions here.... i just answered it....

did i do any mistake?