Question

A 0.003 0-kg lead bullet is traveling at a speed of 240 m/s when it embeds in a block of ice at 0°C. If all the heat generated goes into melting ice, what quantity of ice is melted?

Answer 1

Gió · Ernest Z.

Jun 27, 2017

Answer:

I got

0.26 g

although I am not

100

%

sure of my method…

Explanation:

You know that the bullet carries a kinetic knergy

K

of:

K

=

1

2

m

v

2

=

1

2

(

0.0030 kg

)

(

240 m/s

2=

86.4 J

This energy will be used to melt the ice (OK, it is not true because most of it will be used to break it, but anyway...)

We can say that this energy as heat will be used to melt a mass

m

i

of ice as in:

Q

=

K

=

m

i

L

f

So, knowing that for the energy:

86.4 J = 0.020 64 kcal

we get:

0.020 64 kcal

=

80

m

i

kcal/kg

Rearranging:

m

i

=

0.020 64 kcal

80 kcal/kg

=

0.000 258 kg

=

0.26 g

thank you...i hope it helps