A tire at 21°C has a pressure of 0.82 atm. Its temperature decreases to -3.5°C. If there is no volume
is the pressure after the temperature change?
Use T - TO
0.75 atm
0.89 atm
1.1 atm
1.3 atm

0.75 atm. First option.

Explanation:

First of all, we convert the T° from C to K

21°C + 273 = 294K

-3.5°C + 273 = 269.5K

When the number of moles and the volume remain constant, we can propose this situation:

P₁ / T₁ = P₂ / T₂

The relation states a directly proportion

T° decreases → Pressure decreases

T° increases → Pressure increases

0.82 atm / 294K = P₂ / 269.5K

(0.82 atm / 294K) . 269.5K = P₂ → 0.75 atm

first let us lay out the formula for potential

and kinetic energy:

pe = mgh

ke = (mv^2)/2

where: m=mass, v=velocity, g=gravitational

acceleration, h=height

calculating for mass using the known values of

pe:

340j = m (9.81 m/s^2) (50ft) (1m/3.28ft)

m = 2.27 kg

the law of conservation of energy states that

energy is neither created nor destroyed. therefore, the change in kinetic

energy from 50 ft to 35 ft would be equal to the change in potential energy

from 50 ft to 35 ft. however it would be opposite in signs since one is losing

while other is gaining.

ke(35ft) – ke(50ft) = - [ pe(35ft) – pe(50ft]

ke(50ft) = 0 since the brick is initially at rest

ke(35ft) = 340j - 2.27kg (9.81 m/s^2) (35ft)

(1m/3.28 ft)

ke(35ft)

= 102.38 j