Question

BRAINLIESTTT ASAP! PLEASE HELP ME :)

Answer 1

Answer:

$\large \boxed{\text{5.2 lb \cdot in}^{-2}}}$

Step-by-step explanation:

In a direct proportion,

Pressure = constant × temperature

             p = kT

We can use the initial conditions to find the value of k, and then calculate the pressure at the new temperature.

1. Determine the value of k

Data:

p₁ = 6 lb·in⁻²

T₁ = 440 K

Calculation:

$\begin{array}{rcl}p_{1} & = &k \times T_{1}\\6 & = &k \times 440\\k & = & \dfrac{6}{440}\end{array}$

2.Calculate the new pressure

$\begin{array}{rcl}p_{2} & = &k \times T_{2}\\& = &\dfrac{6}{440} \times 380\\\\& = & \mathbf{5.2}\end{array}\\\text{The new pressure is \large \boxed{\textbf{5.2 lb \cdot in}^{\mathbf{-2}}} }$