What is the different between “会” and "能“？

1.我会开车，但是今天我不能开车，因为脚崴了。
2.我会弹钢琴，但是今天我不能弹钢琴，因为手受伤了。

比如说我能自己穿衣服，但是我不会自己系鞋带。
我能带你去上海，但是我不会带你去，因为太贵了。

会mean you can 会做
能 mean you able to 可以做

“会"表示通过学习具有了某种能力,不具有某种能力用“不会”;“能” 表示能力达到了一定的程度、水平或效率,也可用于表示恢复了某种能力。如:

我姐姐会说三种语言。

(通过学习具有了某种能力)

她一分钟能打300个字。

(能力达到一定的程度、水平或效率)

*她一分钟会打300个字。

你生活在海边，怎么不会游泳呢?

(通过学习具有了某种能力)

他的腿好了，又熊游泳了。

(恢复了某种能力)

他的腿好了，又会游泳了。

“能”和“会"都表示某人在某方面有特长，善于做某事,但二者表达的意思仍有不同: “能"侧重从量上强调具有的能力，“会" 更强调技巧。对比如下:

他真能唱,唱了三个小时都不知道累。l他真会唱,唱得和大歌星不相上下。

这人真能说，说了半天也不觉得累。l她真会说，在她的劝说下，矛盾双方终于握手言和了。

会 (huì) generally means "to know how to" or "to be capable of" doing something that requires a certain skill or knowledge. It is often used to express the ability to do something that has been learned or practiced, such as speaking a language, playing a musical instrument, or cooking a dish. For example, 我会说中文 (wǒ huì shuō zhōngwén) means "I can speak Chinese".

On the other hand, 能 (néng) usually means "to have the ability" or "to be capable" of doing something. It can be used to express physical or mental ability and is often used to talk about a person's innate qualities or natural talents. For example, 他很能干 (tā hěn nénggàn) means "He is very capable".

In some cases, 能 (néng) can also be used to express permission or possibility, such as in the sentence 你能帮我一个忙吗？ (nǐ néng bāng wǒ yí gè máng ma?) which means "Can you do me a favor?".

Overall, 会 (huì) is more commonly used to express LEARNED or ACQUIRED abilities, while 能 (néng) is more often used to describe INNATE qualities or NATUAL abilities.

会 means you have learnt something, and now can do it. For example, "You can speak English". 能 means you have the ability and/or permission. "You can breathe". "You can smoke in this room".