Question

Calculate the internal energy (in Joules) of a system that loses 286.1 J that is compressed with a pressure of 1.03 atm from 12.40 L to 1.00 L.

Answer 1

Answer:

\bf\huge\underline{Question}

Question

$\bf\huge\underline{Question}$

For what value of k in 3x - y + 8 = 0 and 6x - ky = -16 represent coincident lines?

\bf\huge\underline{Solution}

Solution

Given equations of lines are

3x - y + 8 = 0

6x - ky + 16 = 0

Here, {a_1}a

1

= 3, {b_1}b

1

= 1, {c_1}c

1

= 8

and {a_2}a

2

= 6, {b_2}b

2

= -k, {c_2}c

2

= 16

Since, condition for coincident lines is

\dfrac{a_1}{a_2}

a

2

a

1

= \dfrac{b_1}{b_2}

b

2

b

1

= \dfrac{c_1}{c_2}

c

2

c

1

∴ \dfrac{3}{6}

6

3

= \dfrac{-1}{-k}

−k

−1

= \dfrac{8}{16}

16

8

=> \dfrac{1}{k}

k

1

= \dfrac{1}{2}

2

1

∴ k = 2